Search a number
-
+
1010001069 = 3671119947
BaseRepresentation
bin111100001100110…
…110010010101101
32121101111101000000
4330030312102231
54032030013234
6244115454513
734012603350
oct7414662255
92541441000
101010001069
11479134830
122422b7439
1313132c38c
14981d2297
155da09899
hex3c3364ad

1010001069 has 112 divisors (see below), whose sum is σ = 1989434880. Its totient is φ = 496536480.

The previous prime is 1010001061. The next prime is 1010001077. The reversal of 1010001069 is 9601000101.

It is an interprime number because it is at equal distance from previous prime (1010001061) and next prime (1010001077).

It is not a de Polignac number, because 1010001069 - 23 = 1010001061 is a prime.

It is a super-2 number, since 2×10100010692 = 2040204318762285522, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010001061) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1066054 + ... + 1067000.

Almost surely, 21010001069 is an apocalyptic number.

1010001069 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

1010001069 is a deficient number, since it is larger than the sum of its proper divisors (979433811).

1010001069 is an equidigital number, since it uses as much as digits as its factorization.

1010001069 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

The square root of 1010001069 is about 31780.5139826278. The cubic root of 1010001069 is about 1003.3226375194.

The spelling of 1010001069 in words is "one billion, ten million, one thousand, sixty-nine".

Divisors: 1 3 7 9 11 19 21 27 33 57 63 77 81 99 133 171 189 209 231 243 297 399 513 567 627 693 729 891 947 1197 1463 1539 1701 1881 2079 2673 2841 3591 4389 4617 5103 5643 6237 6629 8019 8523 10417 10773 13167 13851 16929 17993 18711 19887 25569 31251 32319 39501 50787 53979 56133 59661 72919 76707 93753 96957 118503 125951 152361 161937 178983 197923 218757 230121 281259 355509 377853 485811 536949 593769 656271 690363 843777 1066527 1133559 1385461 1457433 1610847 1781307 1968813 2531331 3400677 4156383 4372299 4832541 5343921 5906439 7593993 10202031 12469149 13116897 16031763 17719317 30606093 37407447 48095289 53157951 91818279 112222341 144285867 336667023 1010001069